Question
Write whether the following data are discrete or continuous. Give reason in support of your answer.
(a) Number of children in a family in a colony of 1000 families.
(b) Number of pages in each of the 50 books having some mistake.
(c) Height of students of IGNOU who enrolled in 2021.
(d) Waiting time of metro when a person reaches metro station.
(e) Monthly income of the family.
Answer :
Word Count : 653
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In analyzing whether a given set of data is discrete or continuous, it is essential to recall the fundamental distinction: discrete data consists of distinct, separate values that can usually be counted, often integers, while continuous data can take any value within a given range and is measurable, often involving fractions or decimals. Each of the provided examples can be examined using this reasoning. (a) Number of children in a family in a colony of 1000 families The number of children in a family is countable and takes only non-negative integer values: 0, 1, 2, 3, and so on. One cannot have 2.5 children in a family, as the number of children must be a whole number. Since the data can be enumerated and each family has a specific, distinct ______ ______ __________ ____ ___ __________ __________ ___ ____ _____ ___.
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| Classes | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 |
| Frequencies | 0 | 7 | 3 | 8 | 4 | 0 | 0 |
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